Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350o |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2280000 |
Modular degree for the optimal curve |
Δ |
-648793801342500 = -1 · 22 · 3 · 54 · 112 · 595 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5046000,-4364940300] |
[a1,a2,a3,a4,a6] |
Generators |
[18773658363741230:1487989956093810882:2625216434875] |
Generators of the group modulo torsion |
j |
-22734508407227217504025/1038070082148 |
j-invariant |
L |
5.3508980820459 |
L(r)(E,1)/r! |
Ω |
0.050365451911065 |
Real period |
R |
26.560359725822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350cs2 |
Quadratic twists by: 5 |